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# 9 7 Lengths Of Segments Filled In

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### 9 7 Lengths Of Segments Filled In

1. 1. Announcements <ul><li>Tomorrow we will all get on the same page </li></ul><ul><ul><li>359 2-20 even (you might have to do 1-9 odds) </li></ul></ul><ul><ul><li>2 page packet from Friday </li></ul></ul><ul><ul><li>Tonight's homework </li></ul></ul>
2. 2. 9-7 Circles
3. 3. <ul><li>Theorem </li></ul><ul><li>If two chords intersect in a circle, then the product of the lengths of the segments of one chord equals the products of the segments of the other chord. </li></ul>A B D C EA ∙ EB = EC ∙ ED E
4. 4. Solve for x <ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>5 </li></ul>A B D C E 9 6 3 x 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
5. 5. A B D C E <ul><li>Theorem </li></ul><ul><ul><li>Two secants from the same point: Take one and multiply the outside part times the whole thing and that’s equal to the same thing of the other. </li></ul></ul>EA ∙ EB = EC ∙ ED
6. 6. Solve for x <ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>5 </li></ul><ul><li>6 </li></ul><ul><li>7 </li></ul><ul><li>8 </li></ul>A B D C E 6 x 7 5 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
7. 7. A D C E <ul><li>Theorem </li></ul><ul><ul><li>A tangent and a secant from the same point: Take the secant and multiply the outside part times the whole thing and that’s equal to the square of the tangent. </li></ul></ul>(EA) 2 = EC ∙ ED
8. 8. Solve for x <ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>5 </li></ul><ul><li>6 </li></ul><ul><li>7 </li></ul><ul><li>8 </li></ul><ul><li>9 </li></ul>A B D C E x 12 4 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
9. 9. SPICSA Page 364 2-12 even and 22